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Finding the Fourth Proportional to 194,307.46, 291,471.62 and 61,198.13

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Solution

The fourth proportional to 194,307.46, 291,471.62 and 61,198.13 is: 91,800.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,307.46 : 291,471.62 = 61,198.13 : x
  2. Step 2: Convert to fraction form
    194,307.46/291,471.62 = 61,198.13/x
  3. Step 3: Cross multiply
    194,307.46x = 291,471.62 × 61,198.13
  4. Step 4: Simplify right side
    194,307.46x = 17,837,518,514.76
  5. Step 5: Solve for x
    x = 17,837,518,514.76/194,307.46
  6. Step 6: Final answer
    x = 91,800.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.